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Finding the Fourth Proportional to 3,293.92, 4,942.19 and 1,446.11

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Solution

The fourth proportional to 3,293.92, 4,942.19 and 1,446.11 is: 2,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.92 : 4,942.19 = 1,446.11 : x
  2. Step 2: Convert to fraction form
    3,293.92/4,942.19 = 1,446.11/x
  3. Step 3: Cross multiply
    3,293.92x = 4,942.19 × 1,446.11
  4. Step 4: Simplify right side
    3,293.92x = 7,146,929.29
  5. Step 5: Solve for x
    x = 7,146,929.29/3,293.92
  6. Step 6: Final answer
    x = 2,169.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.